





'''simple docstring'''

from __future__ import annotations

import time

import numpy as np

__lowerCAmelCase				:      Optional[Any]						      =[8, 5, 9, 7]
__lowerCAmelCase				:      Dict						      =[
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
__lowerCAmelCase				:      List[Any]						      =[
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]






class   UpperCAmelCase      :
 def __init__(							self :Tuple		,			lowercase_ :Dict		,			lowercase_ :Dict		,			lowercase_ :Union[str, Any]		,			)->				str:
     A__							=     claim_vector
     A__							=     allocated_resources_table
     A__							=     maximum_claim_table
 def 	UpperCAmelCase_				(							self :Dict				)->				List[str]:
     return [
         sum(p_item[i] for p_item in self.__allocated_resources_table				)
         for i in range(len(self.__allocated_resources_table[0]				)				)
     ]
 def 	UpperCAmelCase_				(							self :Dict				)->				List[str]:
     return np.array(self.__claim_vector				) - np.array(
         self.__processes_resource_summation()				)
 def 	UpperCAmelCase_				(							self :Optional[Any]				)->				Optional[Any]:
     return [
         list(np.array(self.__maximum_claim_table[i]				) - np.array(lowercase_				)				)
         for i, allocated_resource in enumerate(self.__allocated_resources_table				)
     ]
 def 	UpperCAmelCase_				(							self :Union[str, Any]				)->				Tuple:
     return {self.__need().index(lowercase_				): i for i in self.__need()}
 def 	UpperCAmelCase_				(							self :int		,			**lowercase_ :str				)->				Any:
     A__							=     self.__need()
     A__							=     self.__allocated_resources_table
     A__							=     self.__available_resources()
     A__							=     self.__need_index_manager()
     for kw, val in kwargs.items():
         if kw and val is True:
             self.__pretty_data()
     print("_" * 50 + "\n"				)
     while need_list:
         A__							=     False
         for each_need in need_list:
             A__							=     True
             for index, need in enumerate(lowercase_				):
                 if need > available_resources[index]:
                     A__							=     False
                     break
             if execution:
                 A__							=     True
                 # get the original index of the process from ind_ctrl db
                 for original_need_index, need_clone in need_index_manager.items():
                     if each_need == need_clone:
                         A__							=     original_need_index
                 print(F"Process {process_number + 1} is executing."				)
                 # remove the process run from stack
                 need_list.remove(lowercase_				)
                 # update available/freed resources stack
                 A__							=     np.array(lowercase_				) + np.array(
                     alloc_resources_table[process_number]				)
                 print(
                     "Updated available resource stack for processes: "
                     + " ".join([str(lowercase_				) for x in available_resources]				)				)
                 break
         if safe:
             print("The process is in a safe state.\n"				)
         else:
             print("System in unsafe state. Aborting...\n"				)
             break



 def 	UpperCAmelCase_				(							self :str				)->				List[Any]:
     print(" " * 9 + "Allocated Resource Table"				)
     for item in self.__allocated_resources_table:
         print(
             F"P{self.__allocated_resources_table.index(lowercase_				) + 1}"
             + " ".join(F"{it:>8}" for it in item				)
             + "\n"				)
     print(" " * 9 + "System Resource Table"				)
     for item in self.__maximum_claim_table:
         print(
             F"P{self.__maximum_claim_table.index(lowercase_				) + 1}"
             + " ".join(F"{it:>8}" for it in item				)
             + "\n"				)
     print(
         "Current Usage by Active Processes: "
         + " ".join(str(lowercase_				) for x in self.__claim_vector				)				)
     print(
         "Initial Available Resources:       "
         + " ".join(str(lowercase_				) for x in self.__available_resources()				)				)
     time.sleep(1				)


if __name__ == "__main__":
  import doctest

  doctest.testmod()




"""simple docstring"""



from __future__ import annotations

import math



def 	_lowerCamelCase(	a   ,    a				):
       __a       =    u
       for i in range(1   ,    a				):
              __a       =    temp * (u - i)
       return temp



def 	_lowerCamelCase(	):
       __a       =    int(input("enter the numbers of values: "				)				)
       __a       =    []
       for _ in range(a				):
              y.append([]				)
       for i in range(a				):
              for j in range(a				):
                     y[i].append(a				)
                     __a       =    0

       print("enter the values of parameters in a list: "				)
       __a       =    list(map(a   ,    input().split()				)				)

       print("enter the values of corresponding parameters: "				)
       for i in range(a				):
              __a       =    float(input()				)

       __a       =    int(input("enter the value to interpolate: "				)				)
       __a       =    (value - x[0]) / (x[1] - x[0])

       # for calculating forward difference table

       for i in range(1   ,    a				):
              for j in range(n - i				):
                     __a       =    y[j + 1][i - 1] - y[j][i - 1]

       __a       =    y[0][0]
       for i in range(1   ,    a				):
              summ += (ucal(a   ,    a				) * y[0][i]) / math.factorial(a				)

       print(F"the value at {value} is {summ}"				)


if __name__ == "__main__":
   main()
